QuestionMultiply and simplify: $\frac{2}{11} \cdot \frac{2}{7}$ . Provide your answer as an integer or simplified fraction.

Studdy Solution

STEP 1

Assumptions1. We are given two fractions $\frac{}{11}$ and $\frac{}{7}$ . . We are asked to perform the multiplication operation on these two fractions.
3. The result should be simplified to its lowest terms if possible.

STEP 2

The multiplication of two fractions is done by multiplying the numerators together to get the new numerator and the denominators together to get the new denominator.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

STEP 3

Now, plug in the given values for the fractions to calculate the multiplication.
$\frac{2}{11} \cdot \frac{2}{7} = \frac{2 \cdot2}{11 \cdot7}$

STEP 4

Calculate the multiplication in the numerator and the denominator.
$\frac{2 \cdot2}{11 \cdot7} = \frac{4}{77}$

STEP 5

The fraction $\frac{4}{77}$ is already in its simplest form because the numerator and the denominator have no common factors other than1. Therefore, the result of the multiplication is $\frac{4}{77}$ .
So, the answer is $\frac{4}{77}$ .

Was this helpful?

QuestionMultiply and simplify: $\frac{2}{11} \cdot \frac{2}{7}$ . Provide your answer as an integer or simplified fraction.

Studdy Solution

STEP 1

Assumptions1. We are given two fractions $\frac{}{11}$ and $\frac{}{7}$ . . We are asked to perform the multiplication operation on these two fractions.
3. The result should be simplified to its lowest terms if possible.

STEP 2

The multiplication of two fractions is done by multiplying the numerators together to get the new numerator and the denominators together to get the new denominator.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

STEP 3

Now, plug in the given values for the fractions to calculate the multiplication.
$\frac{2}{11} \cdot \frac{2}{7} = \frac{2 \cdot2}{11 \cdot7}$

STEP 4

Calculate the multiplication in the numerator and the denominator.
$\frac{2 \cdot2}{11 \cdot7} = \frac{4}{77}$

STEP 5

The fraction $\frac{4}{77}$ is already in its simplest form because the numerator and the denominator have no common factors other than1. Therefore, the result of the multiplication is $\frac{4}{77}$ .
So, the answer is $\frac{4}{77}$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionMultiply and simplify: 211⋅27\frac{2}{11} \cdot \frac{2}{7}112​⋅72​. Provide your answer as an integer or simplified fraction.

Studdy Solution

STEP 1

Assumptions1. We are given two fractions 11\frac{}{11}11​ and 7\frac{}{7}7​. . We are asked to perform the multiplication operation on these two fractions.3. The result should be simplified to its lowest terms if possible.

STEP 2

The multiplication of two fractions is done by multiplying the numerators together to get the new numerator and the denominators together to get the new denominator.ab⋅cd=a⋅cb⋅d\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}ba​⋅dc​=b⋅da⋅c​

STEP 3

Now, plug in the given values for the fractions to calculate the multiplication.211⋅27=2⋅211⋅7\frac{2}{11} \cdot \frac{2}{7} = \frac{2 \cdot2}{11 \cdot7}112​⋅72​=11⋅72⋅2​

STEP 4

Calculate the multiplication in the numerator and the denominator.2⋅211⋅7=477\frac{2 \cdot2}{11 \cdot7} = \frac{4}{77}11⋅72⋅2​=774​

STEP 5

The fraction 477\frac{4}{77}774​ is already in its simplest form because the numerator and the denominator have no common factors other than1. Therefore, the result of the multiplication is 477\frac{4}{77}774​.So, the answer is 477\frac{4}{77}774​.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionMultiply and simplify: $\frac{2}{11} \cdot \frac{2}{7}$ . Provide your answer as an integer or simplified fraction.

Assumptions1. We are given two fractions $\frac{}{11}$ and $\frac{}{7}$ . . We are asked to perform the multiplication operation on these two fractions.
3. The result should be simplified to its lowest terms if possible.

The multiplication of two fractions is done by multiplying the numerators together to get the new numerator and the denominators together to get the new denominator.
$\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}$

Now, plug in the given values for the fractions to calculate the multiplication.
$\frac{2}{11} \cdot \frac{2}{7} = \frac{2 \cdot2}{11 \cdot7}$

Calculate the multiplication in the numerator and the denominator.
$\frac{2 \cdot2}{11 \cdot7} = \frac{4}{77}$

The fraction $\frac{4}{77}$ is already in its simplest form because the numerator and the denominator have no common factors other than1. Therefore, the result of the multiplication is $\frac{4}{77}$ .
So, the answer is $\frac{4}{77}$ .